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Simplifying 2x + x + -1(5 + 2x) + -7 = 3x + 7 2x + x + (5 * -1 + 2x * -1) + -7 = 3x + 7 2x + x + (-5 + -2x) + -7 = 3x + 7 Reorder the terms: -5 + -7 + 2x + x + -2x = 3x + 7 Combine like terms: -5 + -7 = -12 -12 + 2x + x + -2x = 3x + 7 Combine like terms: 2x + x = 3x -12 + 3x + -2x = 3x + 7 Combine like terms: 3x + -2x = 1x -12 + 1x = 3x + 7 Reorder the terms: -12 + 1x = 7 + 3x Solving -12 + 1x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 1x + -3x = 7 + 3x + -3x Combine like terms: 1x + -3x = -2x -12 + -2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -2x = 7 + 0 -12 + -2x = 7 Add '12' to each side of the equation. -12 + 12 + -2x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 7 + 12 -2x = 7 + 12 Combine like terms: 7 + 12 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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